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Finding the Fourth Proportional to 3,709.29, 5,120.67 and 2,868.09

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Solution

The fourth proportional to 3,709.29, 5,120.67 and 2,868.09 is: 3,959.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.29 : 5,120.67 = 2,868.09 : x
  2. Step 2: Convert to fraction form
    3,709.29/5,120.67 = 2,868.09/x
  3. Step 3: Cross multiply
    3,709.29x = 5,120.67 × 2,868.09
  4. Step 4: Simplify right side
    3,709.29x = 14,686,542.42
  5. Step 5: Solve for x
    x = 14,686,542.42/3,709.29
  6. Step 6: Final answer
    x = 3,959.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.